Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C22×C4×C73 ⋊ C8 |
| Sylow | C73 ⋊ #1458 |
264 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 69 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^7,73|a^2=e,c^2=f,e^2=g,b^a=bd,d^a=df,h^a=h^10,e^b=ef,h^e=h^27,h^g=h^72188 conjugacy classes — view the full character table.
| maximal subgroup of | #34032947, #34032948, #34032951, … |
| maximal normal subgroup of | #34032947, #34032948, #34032951, … |
| maximal quotient of | #34033171, #34033173, #34033185, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21622);